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Finding the Fourth Proportional to 23,512.98, 32,447.81 and 12,757.85

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Solution

The fourth proportional to 23,512.98, 32,447.81 and 12,757.85 is: 17,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.98 : 32,447.81 = 12,757.85 : x
  2. Step 2: Convert to fraction form
    23,512.98/32,447.81 = 12,757.85/x
  3. Step 3: Cross multiply
    23,512.98x = 32,447.81 × 12,757.85
  4. Step 4: Simplify right side
    23,512.98x = 413,964,066.78
  5. Step 5: Solve for x
    x = 413,964,066.78/23,512.98
  6. Step 6: Final answer
    x = 17,605.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.